1 citations · 3 across the 7 of their papers we have counts for
7 papers
Application of Lagrangian mechanics equations for finding of the minimum distance between smooth submanifolds in N-dimensional Euclidean space -- Part II
Stanislav S. Zub, Sergiy I. Zub, Vladimir V. Semenov
The method of finding the minimal distance between smooth non crossing submanifolds in N-dimensional Euclidean space are presented. It based on solution of the equations that descr…
Quaternions in Hamiltonian dynamics of a rigid body -- Part III. Asymmetric Top in the Orbitron
Stanislav S. Zub, Sergiy I. Zub
The Poisson structure in the quaternion variables was proposed for asymmetric top in the external axially symmetric magnetic field. For that model of interaction the motion equatio…
Quaternions in Hamiltonian dynamics of a rigid body -- Part II. Relation of canonical Poisson and Lie-Poisson structures
Stanislav S. Zub, Sergiy I. Zub
It was proposed the Lie group such that symplectic structure of orbits of co-adjoint representation of the group is revealed symplectic structure of a rigid body dynamics in quater…
Quaternions in Hamiltonian dynamics of a rigid body -- Part I
Stanislav S. Zub, Sergiy I. Zub
This paper showed that Poisson brackets in quaternion variables can be obtained directly from canonical Poisson brackets on cotangent bundle of (or ) endowed by cano…
Hamiltonian dynamics of a symmetric top in external fields having axial symmetry. Levitating Orbitron
Stanislav S. Zub, Sergiy I. Zub
The symmetric top is a special case of the general top, and canonical Poisson structure on is the common method of its description. This structure is invariant under the…
Reduction of T*SE(3) to the Poisson structure for a symmetric top
Stanislav S. Zub, Sergiy I. Zub
Symmetrical top is a special case of a general top. The canonical Poisson structure on T*SE(3) is the common method of its description. This Poisson structure is invariant under th…
The Grid: Prospects for Application in Metrology
P. I. Neyezhmakov, S. I. Zub, S. S. Zub
Global system of distributing computing - Grid - created as reply for challenges, connected with the qualitative progress of complexity of experimental physical assemblies and info…